独特性
李雅普诺夫函数
流行病模型
数学
消光(光学矿物学)
应用数学
白噪声
摄动(天文学)
传输(电信)
控制理论(社会学)
统计
数学分析
人口学
计算机科学
控制(管理)
生物
物理
非线性系统
人口
量子力学
人工智能
社会学
古生物学
电信
作者
Prasenjit Mahato,Subhashis Das,Sanat Kumar Mahato
标识
DOI:10.1142/s0218339023500249
摘要
We propose and study the transmission dynamics of susceptible-exposed-infected-recovered [Formula: see text] epidemic model with saturated treatment function. We consider saturated treatment function in the epidemic system to understand the effect of delayed treatment on the disease transmission. The indiscriminately perturbation which is considered as a type of white noise is proportional to the distance of state variables from the values of endemic equilibria. Choosing the suitable Lyapunov function and using the It[Formula: see text]’s formula, the existence and the uniqueness of the positive solution of the system are examined. Stochastic boundedness, permanence and extinction of the epidemic model are investigated with proper conditions. Numerical simulations are performed to illustrate our results. The sensitivity analysis of the basic reproduction number is performed. The effect of control parameter is determined on the model dynamics. It is our main finding that the different intensities of white noises can fluctuate the susceptible, exposed, infected, recovered individuals around its equilibrium points.
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